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chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

a recent survey reported that small businesses spend 24 hours a week marketing their business.

these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.

assuming that the population standard deviation is 6.1 hours.

Given n = 93, u =24, x' = 23, α=5.5

z = x'- u / α(/√n) = (23-24/5.5/√5) = -1.75

Hence, chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

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The two found rational expressions with the difference that completes the equation is  (x + 2)/(x² - 36) and 1/(x² + 6x).

Consider the two rational expressions.

(x + 2)/(x² - 36)    ...eq 1

and 1/(x² + 6x)   ....eq 2

Subtract the second from the first.

=  [(x + 2)/(x² - 36)] - [1/(x² + 6)]

Factorise the denominator of the first equation-

= [(x + 2)/(x + 6)(x - 6)] - [1/(x(x + 6)]

Taking the LCM

= [x(x + 2) - (x - 6)]/[x(x + 6)(x - 6)]

Further simplifying,

= [x² + x + 6]/[x(x-6)(x + 6)]

Thus, the two found rational expressions with the difference that completes the equation is  (x + 2)/(x² - 36) and 1/(x² + 6x).

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The complete question is-

Drag each expression to the correct location in the equation. Not all expressions will be used.

Determine the two rational expressions whose difference completes this equation.

x² + x + 6

x(x-6)(x + 6)

The percentage of French-speaking Canadians went down between 2006 and 2011.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In 2006, in Canada, 7.4 million out of 31.4 million of canadians said they spoke french. The percentage will be:

= 7.4/31.4 × 100

= 23.6%

Since Canada's population went up 6%, the bee population will be:

= 31.4 million × (6% × 31.4 million)

= 33,284,000

The number of Canadians speaking french went up 300 000.

The percentage will be:

= 7,700,000/33,284,000 × 100

= 23%

Therefore, the percentage reduced.

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Answer:

8.4-16.2n²

Step-by-step explanation:

2.4-5.4n3n+6

= 2.4-16.2n²+6

= 8.4-16.2n²

The greatest common factor being 12, the difference between the two values is 12.

What is GCD?

The greatest common divisor (GCD) from mathematics is the largest positive integer that splits each of two or more non-zero integers.

The symbol gcd stands for the greatest common divisor of the two integers x and y.

For instance, gcd(8,12)=4 is the GCD of the numbers 8 and 12.

According to the given question:

The greatest common factor of 48 and z, some unknown positive integer, is 12. There are two possible values for z between 10 and 30.

Now there are only two numbers between 10 and 30 which has a factor of 12.

The numbers are 12 and 24.

Hence the difference between these two numbers is 24 - 12 = 12

Therefore the required value is 12.

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After 10 years the population growth will be 3054, if the population doubles after every 17 years.

A mathematical function with the form f (x) = ae^x is an exponential function. "x" is a variable, and "a" is a constant that serves as the function's base and must be greater than 0. The transcendental number e, or roughly 2.71828, is the base for exponential functions that is most frequently used.

Growth rate = 100% in 17 years

  In 1 year = 5.88% growth

Initial population = P₀ = 1725

Time = 17 years

So, after 10 years population

        P= P₀ ( 1 + [tex]\frac{r}{100}[/tex])^t

           = 1725 ( 1 + 5.88/100 )^10

           =≈ 1725 * 1.77

           =≈ 3054

Hence, the population growth after 10 years at the rate of 5.88 % would be 3054.

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Answer:

Step-by-step explanation:

Can you explain more please?

The plant's height after 34 months will be 89cm if the plant is already 55 centimeters tall.

Height is defined in mathematics as the vertical distance from the object's top to its base. It is occasionally referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.

Height and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height refers to something measured vertically, whether it be high or low.

Given, the relation between the height and the months is:

H(m)=55+m

Now, we have to find the height of the plant after 34 months.

So, we substitute m=34 in the expression to obtain height,

H(m)=55+m

H(34)=55+34

H(34)=89cm

Hence the height will be 89cm

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Answer:

4x+28

4 multiplied by x is just 4x and 4x7 is 28

The true mean number of pushups that can be performed, as determined by the t-distribution, is within a 95% confidence interval of (9, 21).

Since we know the sample standard deviation for this issue, the t-distribution is applied.

Given,

The sample mean, x = 15 .

The sample standard deviation, s = 9 .

The sample size, n = 10 .

As a result, df = 9. Next, we determine the number of degrees of freedom, which is one less than the sample size.

The crucial value for a 95% confidence interval is then determined by looking at the t-table or using a calculator, yielding t = 2.2622.

The margin of error;

M = t × s/n

Then,

M = 2.2622 × 9/√10 = 6

The confidence interval is:

x ± M

Then

x - M = 15 - 6 = 9

x + M = 15 + 6 = 21

Therefore,

The confidence interval is (9, 21).

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The t-score should be used to find the 80% confidence interval for the population mean is $1.304

the interval of confidence:  This indicates the degree of confidence and ambiguity in a sampling process. It provides us with a range of outcomes, indicating that we would be reasonably certain that our genuine value or variable falls inside the range.

The sample size was 40 pharmacies (n=40). To calculate the degrees of freedom, use the formula: df=n-1=40-1=39.

The scenario specifies an 80% confidence level. So,α=1−CL=1−0.8=0.2 However, we wish to utilize the value for 2, which would be 0.22=0.1. We ought to locate the row for 39 freedom degrees and the column for t0.1 using the table. So the t-score for determining the 80% confidence interval is 1.304. We may alternatively use a calculator and enter 1-α2=0.9 as well as the degrees of freedom into invT, and then enter invT. (0.9,39).

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(B) 2 separate resume formats should be the absolute minimum number that someone should have created.

A résumé, also known as a curriculum vitae (CV), is a written statement that a person uses to describe their educational history, professional experience, and accomplishments.

Although there are many uses for resumes, they are most frequently employed to find new jobs.

A standard résumé includes a "summary" of relevant educational background and work history.

So, a condensed format should be used for the first.

One page should be plenty for a good resume.

However, a two-page format might be employed when things are crammed onto one page.

For extra information about yourself, utilize a two-page format.

Typically, we submit the streamlined version before our interview.

In order to give the interviewer access to extra material, we might demonstrate our extended format during the interview.

Therefore, (B) 2 separate resume formats should be the absolute minimum number that someone should have created.

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Correct question:
What is the minimum number of different résumé formats that an individual should have prepared?

a. 1

b. 2

c. 3

d. 4

The values of the functions defined in the piecewise function are f(0) = 5 and f(-4) = 11

From the question, we have the following piecewise function that can be used in our computation:

f(x) = | x + 5                 x < -2

         x² + 2x + 3        x ≥ -2

Evaluating the function f(0)

In this function, we have the x value to be

x = 0

This x value is at the domain x < -2

So, we make use of

f(x) = x + 5

Substitute 0 for x in f(x) = x + 5

f(0) = 0 + 5

Evaluate

f(0) = 5

Evaluating the function f(-4)

In this function, we have the x value to be

x = -4

This x value is at the domain x ≥ -2

So, we make use of

f(x) = x² + 2x + 3

Substitute -4 for x in f(x) = x² + 2x + 3

f(-4) = (-4)² + 2(-4) + 3

Evaluate

f(-4) = 11

Hence, the value of f(-4) is 11

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Answer:

- 5x - 44

Step-by-step explanation:

-4 - 5(x + 8)

Distribute the -5 to the terms in parenthesis:

-4 - 5x - 40

combine numbers:

- 5x - 44

Answer:

dS > dC + 4 LY

Answer:

Step-by-step explanation:

it depends on the vaiable you choose to cancel out first. For example, if I had two equations:

-12x+9y=7

9x-12y=6

if you wanted first eliminate the x values, then you distribute a certain number to either equation that will cause the x values to cancel (one being negative, and the other being positive)

Answer:

equilateral triangle

Step-by-step explanation:

all of the sides to a equilateral triangle equal to 60 degrees.

A statistic summarizing the strength of association between two metric variables is called the product moment correlation.

The Pearson product-moment correlation coefficient also known as Pearson’s correlation is a measure of the linear relationship between two variables/measures/questions, in other words, the Pearson product-moment correlation coefficient is a measure of the direction and strength of association that exists between two metric variables measured on at least an interval scale.

A product-moment correlation attempts to draw a line of best fit through the data of two variables, and the Pearson correlation coefficient illustrates how far away all these data points are from the best fit line. Product-moment correlation quantifies the strength as well as the direction of correlation.

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Answer:

x = 51

y = -82

(51, -82)

Step-by-step explanation:

Look at the attachment

The Expected value for 4 tickets = $ 7.6

Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.

To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Proof -

Given that,

A lottery offers

one $ 900 prize

one $ 600 prize

three $ 400 prizes

Four $ 100 prizes

And

One thousand tickets are sold at $ 5 each

Now,

If the person bought 1000 tickets then the prize he gets is

= 900 + 600 + 3×400 + 4×100

= 900 + 600 + 1200 + 400

= $3100

And

The cost of 1000 tickets = 5×1000 = $ 5000

Now,

Price 1 ticket =   $ 3.1

⇒Expectation of 1 ticket = 5 - $ 3.1  = $ 1.9      (Here $5 is price of 1 ticket)

⇒Expected value for 4 tickets = $ 4× -1.9 = $ 7.6

⇒Expected value for 4 tickets = $ 7.6

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Answer:

x < -8

Step-by-step explanation:

1. Subtract 5 from both sides

-4x + 5 > 37

-4x + 5 - 5 > 37 - 5

2. Simplify

Subtract the numbers:

-4x + 5 - 5 > 37 - 5

-4x > 37 - 5

Subtract the numbers:

-4x > 37 - 5

-4x > 32

3. Divide both sides by the same factor, and flip the relation because the factor is negative

-4x > 32

[tex]\frac{-4x}{-4}[/tex] < [tex]\frac{32}{-4}[/tex]

4. Simplify

Cancel terms that are in both the numerator and denominator:

[tex]\frac{-4x}{-4}[/tex] < [tex]\frac{32}{-4}[/tex]

x < [tex]\frac{32}{-4}[/tex]

Divide the numbers:

x < [tex]\frac{32}{-4}[/tex]

x < -8

Solution:

x < -8

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Answer:

x < - 8

Step-by-step explanation:

-4x + 5 > 37

-4x > 37 - 5

-4x > 32  ( now I have to divide by -4 )

-4x > 32 / -4

x < - 8

x has to be smaller than -8 for example ( -9 or - 10 )

demonstration: -4 * (-9) + 5 > 37

36 + 5 > 37

41 > 37

Answer:

(-8, -8)

Step-by-step explanation:

You need to solve one of the equation for x or y.  I am going to solve the bottom equation for x

4x -4y = 0  Add 4y to both sides

4x = 4y  Divide both sides by 4

x = y  Substitute y in for x in the first equation

-7x + 4y = 24

-7y + 4y = 24  Combine like terms

-3y = 24  Divide both sides by -3

y = -8

Since x = y

x = -8

Check:

-7y + 4y = 24

-7(-8) + 4(-8) = 24

56 - 32 = 24

4x - 4y = 0

4(-8) - 4(-8) = 0

-32 + 32 = 0

0 = 0

the scores on a standardized test have an average of 1200 with a standard deviation of 60 and 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

On Subtracting 1 from your sample size, we get

100 – 1 = 99.

On Subtracting confidence level from 1, and then divide by two.

(1 – .997) / 2 = 0.0015

Now, df = 99 and α = 0.0015

from the table at df = 99 we got 2.262.

Divide your sample standard deviation by the square root of your sample size.

28 / √(100) = 2.8

Now, 2.262 × 2.8 = 6.33

So, the confidence interval be,

(100 - 6.33 , 100 + 6.33) = (44.67 , 56.33)

Hence, 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

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The probability that you will catch a t-shirt that is not of medium size would be 0.7

What is the probability?

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

Small=S=20, M=medium=30,

L = Either large or extra large=50

P(T-shirt that is not a medium)= 1 - P(T-shirt is medium)

                                           = 1 - 30/100

                                           = 1 - 0.3

                                           = 0.7

Hence, the probability that you will catch a t-shirt that is not of medium size would be 0.7

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The number of people needed will be approx 65.

Margin of error = Critical value x Standard deviation for the population.

Margin of error = Critical value x Standard error of the sample.

Given, Margin of error (m) = 0.08

          z (at 80% confidence level)=1.282

Sample size(n) = (z/m)^2 p (1-p)

In order to find the sample size, we must know the value of proportion.

The value of proportion is missing so, in the absence of proportion, we will consider it as 0.5.

p = 0.5

∴ Sample size = (z/m)^2 p (1-p)

                       = (1.282/0.08)^2 × 0.5 × (1-0.5)

                       = 65

Inferential statistics is a statistical method that deduces from a small but representative sample the characteristics of a bigger population. In other words, it allows the researcher to make assumptions about a wider group, using a smaller portion of that group as a guideline.

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Answer: 12x-60

Step-by-step explanation:

-12 x 5/6 = 10

-12 x 5 = -60

10x-60+2x

12x-60

Answer:

Step-by-step explanation: k = 25